At a constant rate of flow, it takes 20 minutes to fill a swimming pool if a large hose is used and 30 minutes if a small hose i
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Answer:
or approximately (0.544, 4.179)
Step-by-step explanation:
A function and its tangent lines intersect when their slopes are the same. Find the x-coordinate when the slope of f(x) is equal to 8/7 by taking the derivative of f(x):
Set equal to 8/7 and solve for x:
Therefore, will intersect at a point of tangency with a line of slope 8/7 at x=49/900. Plug in x=49/900 into
to get the y-coordinate:
⇒Answer: (49/900, 3761/900) or approximately (0.544, 4.179)